查询词典 consistent equations

The classical mode-locking equations shows to be coupling nonlinear second order partial difference equations.

4按照H.A.Haus等人所采取的方法，将量子锁模方程过渡为经典锁模方程。

According to hydromechanical equations proposed by Viridi et al., these equations are correspondly modified and may explain the relations between the period of oscillation and the ratio of granular density.

根据Viridi等提出的流体动力学模型，文中对该模型做出相应的修改，加入密度因子，从而可以解释颗粒振荡周期与颗粒密度比的关系。

After the dynamic response of radial displacement had been obtained in the S2 simply supported condition, the effects of winding angle and thickness on the radial displacement were discussed. By setting the displacement functions as complex Fourier series at the perturbed state, the perturbed motion equations were deduced to a set of Mathieu equations.

对扰动状态的非轴对称变形，位移函数采用复Fourier级数形式，得到了Mathieu形的扰动方程，由此给出了临界载荷和固有频率。

The new method gives out a set of equations based on the fundamental algebra rules that principal stress trace obeys and the essential attributes it possess, we then combine these equations with further information described in this paper leading to an exact description of the conic representing the principal stress traces.

该方法是根据主应力迹线满足过任意三条等倾线的主应力都可以用二次曲线来描述这一条件，再利用主应力迹线本身所具有的性质列出方程组解算出描述主应力迹线的一元二次方程，然后根据方程描绘出所求的主应力迹线。

Based on the concept of the non-proportional damping which may be divided into the proportional part for dissipation of energy and the nonproportional part for transformation of energy, a new modal superposition pseudo-force method is presented if the approximate decoupling method is not suitable. In this method the coupled modal equations are solved by iteration in which the coupling terms are treated as pseudo-force and set to the right side of the equations.

在不能进行近似解耦分析时，基于非比例阻尼可分为耗散能量的比例部分和转换能量的非比例部分这种概念，建立了一种拟力实模态叠加法，即把正则化的耦合模态方程中代表非比例阻尼部分的耦合项作为虚力，放到方程的右端，再运用迭代法求解。

The multiple method of scale is used to obtain the averaged equations in primary parameter resonance. From the averaged equations, the theory of normal form is applied to find the explicit formulas of normalform associated with a double zero and a pair of pure imaginary eigenvalues with the aid of the Maple program.

利用多尺度方法得出了主参数共振情况下的平均方程，利用Normal Form理论对具有双零特征值和一对纯虚特征值的平均方程进行了简化，得到了平均系统的Normal Form。

Questions in this content area are based on an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers.

中等代数（ 15 ％）。这方面的考试内容包括理解二次公式，有理式及根式，绝对值方程和不等式，序列，方程组，二次不等式，函数，建模，矩阵，多项式的根以及复数。

From the Maxwell′s equation,the quasi static electromagnetic field equations in a perfect conductor have been deduced in this paper.The equations are used to analyze two eddy current field engineering problems,and good results are obtained.

本文从麦克斯韦方程出发，推导出良导体内的似稳电磁场方程，将导出的电磁场方程用于分析两个电磁工程实例，获得了两个工程问题的涡流场解析计算结果。

Equations of the force acting on the oil droplet are given based on the analysis of radial pressure field. These equations point out that this force directs to the core and may improve the separation.

在研究压力分布的基础上，给出了径向压力场作用在液滴上力的计算公式，并指出这个力指向核心，有利于分散相液滴的分离。

The energy balance equations and exergy balance equations of heat exchanger and power equipment in the combined power cycle were established.Taking condensation temperature of Rankine cycle, inlet and outlet pressure of turbine of Rankine cycle, inlet and outlet pressures of turbine of LNG cycle as key parameters, the influences of these parameters on the thermal efficiency and exergy efficiency of the combined power cycle were analyzed.

建立了混合动力循环中换热和动力设备的能量平衡方程和可用能平衡方程，并以朗肯循环冷凝温度、朗肯循环透平进出口压力、液化天然气循环透平进出口压力为关键参数，分析了上述关键参数对混合动力循环热效率和可用能效率的影响。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。